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90148536 = 23321252063
BaseRepresentation
bin1010101111110…
…00111010111000
320021122000112200
411113320322320
5141034223121
612540110200
72143151502
oct527707270
9207560480
1090148536
1146982a25
1226235360
13158a473a
14bd88d72
157daaa26
hex55f8eb8

90148536 has 24 divisors (see below), whose sum is σ = 244152480. Its totient is φ = 30049488.

The previous prime is 90148529. The next prime is 90148547. The reversal of 90148536 is 63584109.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 90148536.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 625960 + ... + 626103.

It is an arithmetic number, because the mean of its divisors is an integer number (10173020).

Almost surely, 290148536 is an apocalyptic number.

It is an amenable number.

90148536 is an abundant number, since it is smaller than the sum of its proper divisors (154003944).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

90148536 is a wasteful number, since it uses less digits than its factorization.

90148536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1252075 (or 1252068 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 90148536 is about 9494.6582876900. The cubic root of 90148536 is about 448.3868761648.

The spelling of 90148536 in words is "ninety million, one hundred forty-eight thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1252063 2504126 3756189 5008252 7512378 10016504 11268567 15024756 22537134 30049512 45074268 90148536